678,528

2⁷ × 3² × 19 × 31

Prime Factor Structure

Factorization String 2^7 × 3^2 × 19 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,121,600

Proper Divisor Sum 1,443,072

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #678499 ← → #678533

Radix Representation

Decimal	678528
Binary	10100101101010000000 (20 bits)
Octal	0o2455200
Hexadecimal	0xA5A80

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 64 72 76 93 96 114 124 128 144 152 171 186 192 228 248 279 288 304 342 372 384 456 496 558 576 589 608 684 744 912 992 1,116 1,152 1,178 1,216 1,368 1,488 1,767 1,824 1,984 2,232

Collatz Trajectory (35 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

678,528 339,264 169,632 84,816 42,408 21,204 10,602 5,301 15,904 7,952 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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